Hybrid independent component analysis (H-ICA) with simultaneous analysis of high-order and second-order statistics for industrial process monitoring

2019 ◽  
Vol 185 ◽  
pp. 47-58 ◽  
Author(s):  
Shumei Zhang ◽  
Chunhui Zhao
Keyword(s):  
Independent Component Analysis ◽  
Order Statistics ◽  
Process Monitoring ◽  
Industrial Process ◽  
Component Analysis ◽  
Second Order ◽  
High Order ◽  
Independent Component ◽  
Simultaneous Analysis ◽  
Second Order Statistics

scholarly journals Adaptive Complex-Valued Independent Component Analysis Based on Second-Order Statistics

2016 ◽  
Vol 2016 ◽  
pp. 1-7 ◽  
Author(s):  
Yanfei Jia ◽  
Xiaodong Yang
Keyword(s):  
Independent Component Analysis ◽  
Cost Function ◽  
Order Statistics ◽  
Component Analysis ◽  
Second Order ◽  
Independent Component ◽  
Second Order Statistics ◽  
The Cost ◽  
Source Signals ◽  
Complex Valued

This paper proposes a two-stage fast convergence adaptive complex-valued independent component analysis based on second-order statistics of complex-valued source signals. The first stage constructs a cost function by extending the real-valued whiten cost function to a complex-valued domain and optimizes the cost function using a complex-valued gradient. The second stage uses the restriction that the pseudocovariance matrix of the separated signal is a diagonal matrix to construct the cost function and the geodesic method is used to optimize the cost function. Compared with other adaptive complex-valued independent component analysis, the proposed method shows a faster convergence rate and smaller error. Computer simulations were performed on synthesized signals and communications signals. The simulation results demonstrate the validity of the proposed algorithm.

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